Let be any real number and , theny
Now, we want to expand thus and . Hence we require that that is, .
Thus the binomial series look like:
Hi guys I can't do the last part of this question so thanks if anybody could help!
Find the first four terms, in ascending order, in the expansion of (1-2x)^-2. State the values of x for which this expansion is valid.
Hence,
(i) by choosing a suitable value of x, find sum to infinity (starting value r=1) of r/2^(r-1),
(i) show that [sq root 2 cos (2x+(pi/4))] / (1-2tanx)^2 is estimated to be 1+2x+2x^2, given that x is small enough for its third and higher powers to be ignored.
Many apologies for the 'messiness'!